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Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods
M. A. Botchev
Abstract:
We assess performance of the exponential Krylov subspace methods for solving a class of parabolic problems with a strong anisotropy in coefficients. Different boundary conditions are considered, which have a direct impact on the smallest eigenvalue of the discretized operator and, hence, on the convergence behavior of the exponential Krylov subspace solvers. Restarted polynomial Krylov subspace methods and shift-and-invert Krylov subspace methods combined with algebraic multigrid are considered.
Keywords:
exponential time integration, Krylov subspace methods shift-andinvert Krylov subspace methods, anisotropy.
Citation:
M. A. Botchev, “Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods”, Keldysh Institute preprints, 2022, 004, 17 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp3030 https://www.mathnet.ru/eng/ipmp/y2022/p4
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Statistics & downloads: |
Abstract page: | 69 | Full-text PDF : | 24 | References: | 12 |
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